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20182020
most citedRepresentation of the Mittag-Leffler function through the exponential functions in the case of rational derivatives

1 citations · 2 across the 3 of their papers we have counts for

collaborators

5 papers

math.DS20201 cited

Analytical construction of regulators for oscillatory systems with liquid dampers

F. A. Aliev, N. A. Aliev, N. A. Ismailov

A mathematical model of oscillatory systems control with liquid dampers is considered which differs from the classical ones by replacing the first derivative of such a fractional d…

math.CA20191 cited

Representation of the Mittag-Leffler function through the exponential functions in the case of rational derivatives

Fikret A. Aliev, N. A. Aliev, N. A. Safarova

In this paper the Mittag-Leffler function is given through the exponential functions for any rational derivatives of m/n order, where m<n, n>1 are natural irreducible numbers (if n…

math.DS2019

Method of discretizing of fractional-derivative linear systems of ordinary differential equations with constant coefficients

Fikret A. Aliev, N. A. Aliev, N. I. Velieva +2

An exact discretization method is being developed for solving linear systems of ordinary fractional-derivative differential equations with constant matrix coefficients (LSOFDDECMC)…

math.DS2018

Solving the linear fractional derivatives ordinary differential equations with constant matrix coefficients

Fikret A. Aliev, N. A. Aliev, N. A. Safarova +2

The Cauchy problem for fractional derivatives linear systems of ordinary differential equations with constant coefficients is considered, where at first the analytic expressions ar…

math.DS2018

Transformation Mittag-Lefler function to an exponential function and its some applications to problems with a fractional derivative

Fikret A. Aliev, N. A. Aliev, N. A. Safarova. +1

In this work at first the relation the Mittag-Lefler function to the exponential is given. The results are applied to the construction of the solution of Cauchy problem for ordinar…